Douglas Hofstadter

Douglas Hofstadter
Douglas R. Hofstadter

Hofstadter in Bologna, Italy, in March 2002
Born February 15, 1945 (1945-02-15) (age 66)
New York, New York
Occupation Professor of cognitive science
Nationality United States
Alma mater Stanford University (B.S.), University of Oregon (Ph.D)
Period 1979–present
Subjects Cognitive science, philosophy of mind, translation, analogy-making

Douglas Richard Hofstadter (born February 15, 1945) is an American academic whose research focuses on consciousness, analogy-making, artistic creation, literary translation, and discovery in mathematics and physics. He is best known for his book Gödel, Escher, Bach: an Eternal Golden Braid, first published in 1979, for which he was awarded the 1980 Pulitzer Prize for general non-fiction.[1]


Early life and education

Hofstadter was born in New York, New York, the son of Nobel Prize-winning physicist Robert Hofstadter. He grew up on the campus of Stanford University, where his father was a professor, and he attended the International School of Geneva in 1958–1959. He graduated with Distinction in Mathematics from Stanford University in 1965. He continued his education and received his Ph.D. in Physics from the University of Oregon in 1975.

Academic career

Hofstadter is College of Arts and Sciences Distinguished Professor of Cognitive Science at Indiana University in Bloomington, where he directs the Center for Research on Concepts and Cognition which consists of himself and his graduate students, forming the "Fluid Analogies Research Group" (FARG). He was initially appointed to the Indiana University's Computer Science Department faculty in 1977, and at that time he launched his research program in computer modeling of mental processes (which at that time he called "artificial intelligence research", a label that he has since dropped in favor of "cognitive science research"). In 1984, he moved to the University of Michigan in Ann Arbor, where he was hired as a professor of psychology and was also appointed to the Walgreen Chair for the Study of Human Understanding. In 1988 he returned to Bloomington as "College of Arts and Sciences Professor" in both Cognitive Science and Computer Science, and also was appointed Adjunct Professor of History and Philosophy of Science, Philosophy, Comparative Literature, and Psychology, but he states that his involvement with most of these departments is nominal.[2][3][4] In April 2009 Hofstadter was elected a Fellow of the American Academy of Arts and Sciences[5] and a Member of the American Philosophical Society.[6]

Hofstadter's many interests include music, visual art, the mind, creativity, consciousness, self-reference, translation and mathematics.

At the University of Michigan and Indiana University, he co-authored, with Melanie Mitchell, a computational model of "high-level perception" – Copycat – and several other models of analogy-making and cognition, including the Tabletop project, co-developed with Robert French. The Copycat project was subsequently extended under the name "Metacat" by Hofstadter's doctoral student James Marshall.[7] The Letter Spirit project, implemented by Gary McGraw and John Rehling, aims to model the act of artistic creativity by designing stylistically uniform "gridfonts" (typefaces limited to a grid). Other more recent models are Phaeaco (implemented by Harry Foundalis) and SeqSee (Abhijit Mahabal), which model high-level perception and analogy-making in the microdomains of Bongard problems and number sequences, respectively, as well as George (Francisco Lara-Dammer), which models the processes of perception and discovery in triangle geometry.[8][9][10]

Both inside and outside his professional work, Hofstadter is driven by a pursuit of beauty. He seeks beautiful mathematical patterns, beautiful explanations, beautiful typefaces, beautiful sonic patterns in poetry, and so forth. Hofstadter has said of himself, "I'm someone who has one foot in the world of humanities and arts, and the other foot in the world of science." He has had several exhibitions of his artworks in various university art galleries. These shows have featured large collections of his gridfonts, his ambigrams (pieces of calligraphy created with two readings, either of which is usually obtained from the other by rotating or reflecting the ambigram, but sometimes simply by "oscillation", like the Necker Cube or the rabbit/duck figure of Joseph Jastrow), and his "Whirly Art" (music-inspired visual patterns realized using shapes based on various alphabets from India). (The term "ambigram" was invented by Hofstadter in 1984 and has since been taken up by many ambigrammists all over the world.)[11]

Hofstadter collects and studies cognitive errors (largely, but not solely, speech errors), "bon mots" (spontaneous humorous quips), and analogies of all sorts, and his long-time observation of these diverse products of cognition, and his theories about the mechanisms that underlie them, have exerted a powerful influence on the architectures of the computational models developed by himself and FARG members.[12]

All FARG computational models share certain key principles, among which are: that human thinking is carried out by thousands of independent small actions in parallel, biased by the concepts that are currently activated; that activation spreads from activated concepts to less activated "neighbor concepts"; that there is a "mental temperature" that regulates the degree of randomness in the parallel activity; that promising avenues tend to be explored more rapidly than unpromising ones. FARG models also have an overarching philosophy that all cognition is built from the making of analogies. The computational architectures that share these precepts are called "active symbols" architectures.

Hofstadter's thesis about consciousness, first expressed in Gödel, Escher, Bach (GEB) but also present in several of his later books, is that it is an emergent consequence of seething lower-level activity in the brain. In GEB he draws an analogy between the social organization of a colony of ants and the mind seen as a coherent "colony" of neurons. In particular, Hofstadter claims that our sense of having (or being) an "I" comes from the abstract pattern he terms a "strange loop", which is an abstract cousin of such concrete phenomena as audio and video feedback, and which Hofstadter has defined as "a level-crossing feedback loop". The prototypical example of this abstract notion is the self-referential structure at the core of Gödel's incompleteness theorems. Hofstadter's 2007 book I Am a Strange Loop carries his vision of consciousness considerably further, including the idea that each human "I" is distributed over numerous brains, rather than being limited to precisely one brain.[13]

Hofstadter's writing is characterized by an intense interaction between form and content, as is exemplified by the 20 dialogues in GEB, many of which simultaneously talk about and imitate strict musical forms used by Bach, such as canons and fugues. Most of Hofstadter's books are characterized by some kind of structural alternation: in GEB between dialogues and chapters, in The Mind's I between selections and reflections, in Metamagical Themas between Chapters and Postscripts, and so forth. Both in his writing and in his teaching, Hofstadter stresses the concrete, constantly using examples and analogies, and avoids the abstract. Typical of the courses he teaches is his seminar "Group Theory and Galois Theory Visualized", in which abstract mathematical ideas are rendered as concretely as possible. He puts great effort into making ideas clear and visual, and asserts that when he teaches, if his students do not understand something, it is never their fault but always his own.

Hofstadter is passionate about languages. He has studied many of them, and speaks them to varying degrees. In addition to English, his mother tongue, he speaks French and Italian fluently (the language spoken at home with his children is Italian). At various times in his life, he has studied (in descending order of level of fluency reached) German, Russian, Spanish, Swedish, Mandarin, Dutch, Polish, and Hindi.[citation needed] His love of sounds pushes him to strive to minimize, and ideally get rid of, any foreign accent.

Le Ton beau de Marot: In Praise of the Music of Language is a long book devoted to language and translation, especially poetry translation, and one of its leitmotifs is a set of some 88 translations of "Ma Mignonne", a highly constrained poem by 16th-century French poet Clément Marot. In this book, Hofstadter jokingly describes himself as "pilingual" (meaning that the sum total of the varying degrees of mastery of all the languages that he's studied comes to 3.14159...), as well as an "oligoglot" (someone who speaks "a few" languages).[14][15]

In 1999, the bicentennial year of Russian poet and writer Alexander Pushkin, Hofstadter published a verse translation of Pushkin's classic novel-in-verse Eugene Onegin. It is highly constrained and filled with many types of sonic pattern. Aside from Eugene Onegin, Hofstadter has translated many other poems (always respecting their formal constraints), and two other novels (in prose): La Chamade (That Mad Ache) by French writer Françoise Sagan, and La Scoperta dell'Alba (The Discovery of Dawn) by Walter Veltroni, the then head of the Partito Democratico in Italy. The Discovery of Dawn was published in 2007, and That Mad Ache was published in 2009, bound together with Hofstadter's essay Translator, Trader: An Essay on the Pleasantly Pervasive Paradoxes of Translation.

Public image

Hofstadter has said that he feels "uncomfortable with the nerd culture that centers on computers". He admits that "a large fraction [of his audience] seems to be those who are fascinated by technology", but when it was suggested that his work "has inspired many students to begin careers in computing and artificial intelligence" he replied that he was pleased about that, but that he himself has "no interest in computers."[16][17] In that interview he also mentioned a course he has twice given at Indiana University, in which he took a "skeptical look at a number of highly-touted AI projects and overall approaches."[4] For example, upon the defeat of Kasparov by Deep Blue, he commented that "It was a watershed event, but it doesn't have to do with computers becoming intelligent".[18]

Provoked by predictions of a technological singularity (the hypothetical moment at which artificial intelligence will surpass human intelligence), Hofstadter has both organized and participated in several public discussions of the topic. At Indiana University in 1999 he organized such a symposium, and in April 2000, he organized a larger symposium entitled "Spiritual Robots" at Stanford University, in which he moderated a panel consisting of Ray Kurzweil, Hans Moravec, Kevin Kelly, Ralph Merkle, Bill Joy, Frank Drake, John Holland, John Koza. Hofstadter was also an invited panelist at the first Singularity Summit, held at Stanford in May 2006. Hofstadter expressed doubt about the likelihood of the singularity coming to pass in the foreseeable future.[19][20][21][22][23][24]

In April 2009, when told about his Wikipedia article, he commented, "[It] is filled with inaccuracies, and it kind of depresses me." When asked why he didn't correct it, he replied, "The next day someone will fix it back."[25] (In Aug. 2011 Hofstadter said he is happy with the article and the only inaccurate part of his Wikipedia entry was the previous sentence because the inaccuracies were subsequently fixed.[citation needed]) (See Talk:Douglas Hofstadter#Citation)

In 1988 Dutch director Piet Hoenderdos created a docudrama about Hofstadter and his ideas entitled Victim of the Brain based on The Mind's I. It includes interviews with Hofstadter about his work.[26]

In 2010: Odyssey Two, Arthur C. Clarke's first sequel to 2001: A Space Odyssey, HAL 9000 is described by Dr. Chandra as being caught in a "Hofstadter-Möbius loop".

Hofstadter's book Fluid Concepts & Creative Analogies: Computer Models of the Fundamental Mechanisms of Thought was the first book ever sold by[27]

Hofstadter was referenced in the XKCD comic strip for his brevity.[28]


When Martin Gardner retired from writing his "Mathematical Games" column for Scientific American magazine, Hofstadter succeeded him in 1981–1983 with a column entitled Metamagical Themas (an anagram of "Mathematical Games"). An idea he introduced in one of these columns was the concept of "Reviews of This Book", a book containing nothing but cross-referenced reviews of itself which has an online implementation.[29] One of Hofstadter's columns in Scientific American concerned the damaging effects of sexist language, and two chapters of his book Metamagical Themas are devoted to that topic, one of which is a biting analogy-based satire entitled "A Person Paper on Purity in Language", in which the reader's presumed revulsion at racism and racist language is used as a lever to motivate an analogous revulsion at sexism and sexist language.[30] Another column reported on the discoveries made by University of Michigan professor Robert Axelrod in his computer tournament pitting many iterated Prisoner's Dilemma strategies against each other, and a follow-up column discussed a similar tournament that Hofstadter and his graduate student Marek Lugowski organized. The "Metamagical Themas" columns ranged over many themes, and included, to name just three, one on patterns in Frederic Chopin's piano music (particularly the études), another on the concept of superrationality (choosing to cooperate when the other party/adversary is assumed to be equally intelligent as oneself), and one on the self-modifying game of Nomic, based on the way in which the legal system modifies itself, and developed by philosopher Peter Suber.[31]

Personal life

Hofstadter was married to Carol Ann Brush. They met in Bloomington, and married in Ann Arbor in 1985. They had two children, Danny and Monica. Carol died in 1993 from the sudden onset of a brain tumor – glioblastoma multiforme – when their children were five and two. The Carol Ann Brush Hofstadter Memorial Scholarship for Bologna-bound Indiana University students was established in 1996 in her name.[32] Hofstadter's book Le Ton beau de Marot is dedicated to their two children and its dedication reads "To M. & D., living sparks of their Mommy's soul".

Hofstadter has composed numerous pieces for piano, and a few for piano and voice. He created an audio CD with the title DRH/JJ, which includes all these compositions performed primarily by pianist Jane Jackson, but with a few performed by Brian Jones, Dafna Barenboim, Gitanjali Mathur and himself.[33]

Hofstadter is related by marriage to the evolutionary theorist Stephen Jay Gould: Hofstadter's paternal aunt was married to Gould's maternal uncle.

The dedication for I Am A Strange Loop is: "To my sister Laura, who can understand, and to our sister Molly, who cannot." Hofstadter explains in the preface that his younger sister Molly never developed the ability to speak or understand language.

Published works


The books published by Hofstadter are (the ISBNs refer to paperback editions, where available):


Hofstadter wrote, among many others, the following papers:

  • "Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields", Phys. Rev. B 14 (1976) 2239.
    • Written while he was at the University of Oregon, this paper soon became well-known because, extending the ideas of Russian (now Israeli) physicist Mark Ya. Azbel', it pointed the way to an understanding of a famous unsolved problem in quantum mechanics, by showing that the allowed energy-level values of an electron in a crystal lattice in a magnetic field form a graph (energy versus magnetic field) that is a self-similar (fractal) shape. This fractal structure is generally known as "Hofstadter's butterfly", which was the first fractal ever found in physics, and it has recently been confirmed in transport measurements in two-dimensional electron systems with a superimposed nano-fabricated lattice.
  • "A non-deterministic approach to analogy, involving the Ising model of ferromagnetism", in E. Caianiello (ed.), The Physics of Cognitive Processes. Teaneck, NJ: World Scientific, 1987.
  • "Speechstuff and thoughtstuff: Musings on the resonances created by words and phrases via the subliminal perception of their buried parts", in Sture Allen (ed.), Of Thoughts and Words: The Relation between Language and Mind. Proceedings of the Nobel Symposium 92, London/New Jersey: World Scientific Publ., 1995, 217-267.
  • "On seeing A's and seeing As.", Stanford Humanities Review 4,2 (1995) pp. 109–121.
  • "Analogy as the Core of Cognition", in Dedre Gentner, Keith Holyoak, and Boicho Kokinov (eds.) The Analogical Mind: Perspectives from Cognitive Science, Cambridge, MA: The MIT Press/Bradford Book, 2001, pp. 499–538.
  • "To Err is Human; To Study Error-making is Cognitive Science" (co-authored by David J. Moser), Michigan Quarterly Review, Vol. XXVIII, No. 2, 1989, pp. 185-­215.
  • Hofstadter wrote over 50 papers that were published through the Center for Research on Concepts and Cognition[34]

Involvement in other books

Hofstadter wrote forewords for or edited the following books:

  • Sparse Distributed Memory by Pentti Kanerva (Bradford Books/MIT Press, 1988). (ISBN 0262111322)
  • The Mind's I: Fantasies and Reflections on Self and Soul (co-edited with Daniel Dennett) (ISBN 0-465-03091-2 and ISBN 0-553-01412-9) (ISBN 0-553-34584-2) 1981
  • Alan Turing: The Enigma by Andrew Hodges. (Preface)
  • Gödel's Proof (2002 revised edition) by Ernest Nagel and James R. Newman, edited by Hofstadter (ISBN 0-8147-5816-9). In the foreword, Hofstadter explains that the book (originally published in 1958) exerted a profound influence on him when he was young.
  • Who invented the computer? The legal battle that changed computing history. (2003) by Alice Rowe Burks.
  • Alan Turing: Life and Legacy of a Great Thinker by Christof Teuscher (Editor)
  • Jason Salavon: Brainstem Still Life (ISBN 981-05-1662-2) 2004 (Introduction)
  • Masters of Deception: Escher, Dali & the Artists of Optical Illusion 2004 by Al Seckel. Hofstadter wrote the foreword.
  • King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry by Siobhan Roberts, Walker and Company, 2006. Hofstadter wrote the foreword.
  • Are Quanta Real? A Galilean Dialogue by J.M. Jauch (ISBN 0-253-20545-X) 1989 Indiana University Press; Hofstadter wrote the foreword.


Some of Hofstadter's former students include:

See also


  1. ^ A bedside book of paradoxes, New York Times
  2. ^ IU pages as faculty, IU distinguished faculty (see this announcement on March 21, 2007) and as speaker
  3. ^ A Day in the Life of... Douglas Hofstadter 2004
  4. ^ a b Seminar: AI: Hope and Hype 1999
  5. ^ American Academy Announces 2009 Class of Fellows and Foreign Honorary Members
  6. ^ American Philosophical Society: Members
  7. ^ An overview of Metacat 2003
  8. ^ By Analogy: A talk with the most remarkable researcher in artificial intelligence today, Douglas Hofstadter, the author of Gödel, Escher, Bach Wired Magazine, November 1995
  9. ^ Analogy as the Core of Cognition Review of Stanford lecture, Feb 2, 2006
  10. ^ Center for Research on Concepts and Cognition
  11. ^ Sounds like Bach
  12. ^ Hofstadter, Douglas, To Err is Human; to Study Error-making is Cognitive Science. Together with David Moser. Michigan Quarterly Review, Vol. XXVIII, No. 2, 1989, pp. 185-215.
  13. ^ Consciousness In The Cosmos: Perspective of Mind: Douglas Hofstadter
  14. ^ Hofstadter, Douglas R. Le Ton Beau de Marot. New York: Basic Books, 1997, pp. 16-17.
  15. ^ Hofstadter, Douglas R. Le Ton Beau de Marot. New York: Basic Books, 1997, p. 627
  16. ^ "Me, My Soul, and I". Wired. March 2007. Retrieved 2007-12-10. 
  17. ^ The Mind Reader New York Times Magazine, April 1, 2007
  18. ^ Mean Chess-Playing Computer Tears at Meaning of Thought by Bruce Weber, February 19, 1996, New York Times
  19. ^ "Will Spiritual Robots Replace Humanity By 2100?", April 1, 2000 Note: as of 2007, videos seem to be missing.
  20. ^ “Moore’s Law, Artificial Evolution, and the Fate of Humanity.” In L. Booker, S. Forrest, et al. (eds.), Perspectives on Adaptation in Natural and Artificial Systems. New York: Oxford University Press, 2003.
  21. ^ The Singularity Summit at Stanford 2006
  22. ^ Trying to Muse Rationally about the Singularity Scenario 35 minute video, May 13, 2006
  23. ^ Quotes from his 2006 Singularity Summit presentation
  24. ^ “Staring EMI Straight in the Eye — and Doing My Best Not to Flinch.” In David Cope, Virtual Music: Computer Synthesis of Musical Style, Cambridge, MA: The MIT Press, 2001.
  25. ^ Use with caution: The perils of Wikipedia
  26. ^ Victim of the Brain - 1988 docudrama about the ideas of Douglas Hofstadter
  27. ^'s company timeline July 1995
  28. ^ XKCD comic 917
  29. ^ Online implementation of his Reviews of this Book idea
  30. ^ A Person Paper on Purity in Language by William Satire (alias Douglas R. Hofstadter), 1985 - a satirical piece, on the subject of sexist language
  31. ^ Metamagical Themas, Douglas R. Hofstadter, Basic Books, New Yoork (1985), see preface, introduction, contents listing.
  32. ^ French and Italian Spring 1996, Vol. X
  33. ^ Piano Music by Douglas Hofstadter (Audio CD) ISBN 1576771431, 2000
  34. ^ CRCC Publications offline

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  • Douglas Hofstadter — (2006 in Stanford) Douglas Richard Hofstadter (* 15. Februar 1945 in New York City) ist ein US amerikanischer Physiker, Informatiker und Kognitionswissenschaftler. Er wurde weithin bekannt durch sein Buch Gödel, Escher, Bach – ein Endloses… …   Deutsch Wikipedia

  • Douglas Hofstadter — Saltar a navegación, búsqueda Douglas Hofstadter Douglas Richard Hofstadter (15 de febrero de 1945) es un científico, filósofo y académico estadounidense. Es probablemente mejor conocido por su libro Gödel, Escher, Bach: un Eterno y Grá …   Wikipedia Español

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